In a triangle, a line that connects one corner (or vertice) to the middle point of the opposite side is called a median. Another property of isosceles triangles, which is simple to prove using … [Read more...] about Isosceles Triangles: the Median to the Base is Perpendicular to the Base
Isosceles Triangle
A triangle in which two of the sides are equal is called an “Isosceles triangle”, and we often identify the equal side by tagging them with a short line:
The third side is called the "base", and we will prove that the angels at the two sides of the base (and opposite the two equal sides) are congruent.
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Now that we've explained the basic concept of isosceles triangles in geometry, let's scroll down to work on specific geometry problems relating to this topic.
Isosceles Triangles: the Height to the Base Bisects the Apex Angle
We can use the proof that the height to the base bisects the base, and get a "two-for-one," as the exact same proof shows us multiple corresponding parts that are congruent.ProblemProve … [Read more...] about Isosceles Triangles: the Height to the Base Bisects the Apex Angle
The Height to the Base of an Isosceles Triangle Bisects the Base
Having proven the Base Angles Theorem for isosceles triangles using triangle congruency, we know that in an isosceles triangle the legs are equal and the base angles are congruent.With these two … [Read more...] about The Height to the Base of an Isosceles Triangle Bisects the Base
Base Angles Theorem
We will prove most of the properties of special triangles like isosceles triangles using triangle congruency because it is a useful tool for showing that two things - two angles or two sides - are … [Read more...] about Base Angles Theorem